A trending system and method for trending data in a mechanical system is provided. The trending system includes a sliding window filter. The sliding window filter receives a data set of data points generated by the mechanical system. The sliding window filter partitions the data set into a plurality of data windows, and uses the data windows to calculate upper and lower confidence bounds for the data set. Specifically, the sliding window filter calculates an upper confidence bounds and lower con...

An ultrasonic stimulus pulse is emitted incident to a laminar structure and recorded as pulse data. Echoes resulting from the stimulus pulse are recorded as echo data. One or more vectors are derived by way of time-shifting the recorded pulse data by respective amounts and a matrix .PHI. is defined including the one or more vectors. An echo vector Y is defined using the recorded echo data. A solution vector X is determined in accordance with: Y=.PHI.*X, typically within a predetermined tolerance...

A method for monitoring a system includes receiving a set of training data. A Gaussian mixture model is defined to model a probability distribution for a particular sensor of the system from among a plurality of sensors of the system based on the received training data. The Gaussian mixture model includes a sum of k mixture components, where k is a positive integer. Sensor data is received from the plurality of sensors of the system. An expectation-maximization technique is performed to estimate...

A method and system for monitoring the performance of a pipe containing a pressurised fluid. The pipe is made up of at least one current zone and singular zones. A predetermined number of singular zones are monitored, in order to obtain circumferential expansion information; and the calculation of the effective stiffness of the pipe and of the measured residual steel section of the pipe, using this circumferential expansion information. The pipe is dynamically monitored, in order to obtain infor...

A method for analyzing data from a mass spectrometer including obtaining calibrated mass spectral data involving at least one ion with its isotopes, by processing raw spectral data; obtaining library spectral data which has been processed to form calibrated library data; and performing a regression analysis, preferably using matrix operations, between the calibrated mass spectral data and the calibrated library data; and reporting at least one regression coefficient representative of a relative ...

Apparatus and an accompanying method for calibrating a sensor signal conditioner coupled to a sensor. The signal conditioner sensor enables relatively easy and precise calibration of bridge sensors without the use of a microprocessor. When mated to a resistive bridge sensor, the sensor signal conditioner can digitally calibrate offset and gain, with an option to calibrate offset and gain coefficients and linearity over temperature. A second order compensation can be enabled for temperature coeff...

A detector for locating a sonde is comprised of a plurality of antennas, a corresponding number of signal isolator modules 1 and a geometrical evaluation module. The magnetic signal generated by the sonde has a fundamental frequency and harmonic frequencies. A frequency spectrum analyzer 29 which forms part of the signal isolator module 1 has frequency bins which are aligned with the fundamental frequency and a plurality of harmonic frequencies of the magnetic signal produced by the sonde. The f...

A method of coordinating surveys of different origins and which may be projected into different coordinate systems. The method provides a translation and rotation of the surveys to be coordinated without disturbing the internal geometry of each survey. A geographic information system including a procedure for coordinating surveys of different origins and/or which surveys which projected in different coordinate systems.

A system for grading the cut of a diamond utilizes a number of appearance metrics to generate scores for a number of cut components that affect cut quality. These cut components include brightness, fire, scintillation, overweight, durability, polish, and symmetry. The cut grading system employs a cut grading algorithm that processes the individual scores obtained for the cut components to generate an overall cut grade for the diamond. The scoring methodology and the cut grading algorithm are des...

A method of coordinating surveys of different origins and which may be projected into different coordinate systems. The method provides a translation and rotation of the surveys to be coordinated without disturbing the internal geometry of each survey. A geographic information system including a procedure for coordinating surveys of different origins and/or which surveys which projected in different coordinate systems.